40121075776320 has 2688 divisors, whose sum is σ = 187834223296512. Its totient is φ = 7604305920000.

The previous prime is 40121075776291. The next prime is 40121075776321. The reversal of 40121075776320 is 2367757012104.

40121075776320 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 1 + 0 + 7 + 5 + 7 + 7 + 632 + 0 = 666.

It is a super-2 number, since 2×40121075776320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40121075776321) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53423535945 + ... + 53423536695.

Almost surely, 2^{40121075776320} is an apocalyptic number.

40121075776320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40121075776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93917111648256).

40121075776320 is an abundant number, since it is smaller than the sum of its proper divisors (147713147520192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40121075776320 is a wasteful number, since it uses less digits than its factorization.

40121075776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 40121075776320 in words is "forty trillion, one hundred twenty-one billion, seventy-five million, seven hundred seventy-six thousand, three hundred twenty".